Professor Pearson's book starts with an introduction to the area and an explanation of the most commonly used functions. It then moves on through differentiation, special functions, derivatives, integrals and onto full differential equations. As with other books in the series the emphasis is on using worked examples and tutorial-based problem solving to gain the confidence of students.

Functions
Functions and their graphs
Linear approximation
Differentiation
Some special functions
Derivatives and graph sketching
The antiderivative
The definite integral
Introduction to differential equations
Future developments